(t-6)(t-6)=(t+6)(t+6)+168

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Solution for (t-6)(t-6)=(t+6)(t+6)+168 equation: 


Simplifying
(t + -6)(t + -6) = (t + 6)(t + 6) + 168

Reorder the terms:
(-6 + t)(t + -6) = (t + 6)(t + 6) + 168

Reorder the terms:
(-6 + t)(-6 + t) = (t + 6)(t + 6) + 168

Multiply (-6 + t) * (-6 + t)
(-6(-6 + t) + t(-6 + t)) = (t + 6)(t + 6) + 168
((-6 * -6 + t * -6) + t(-6 + t)) = (t + 6)(t + 6) + 168
((36 + -6t) + t(-6 + t)) = (t + 6)(t + 6) + 168
(36 + -6t + (-6 * t + t * t)) = (t + 6)(t + 6) + 168
(36 + -6t + (-6t + t2)) = (t + 6)(t + 6) + 168

Combine like terms: -6t + -6t = -12t
(36 + -12t + t2) = (t + 6)(t + 6) + 168

Reorder the terms:
36 + -12t + t2 = (6 + t)(t + 6) + 168

Reorder the terms:
36 + -12t + t2 = (6 + t)(6 + t) + 168

Multiply (6 + t) * (6 + t)
36 + -12t + t2 = (6(6 + t) + t(6 + t)) + 168
36 + -12t + t2 = ((6 * 6 + t * 6) + t(6 + t)) + 168
36 + -12t + t2 = ((36 + 6t) + t(6 + t)) + 168
36 + -12t + t2 = (36 + 6t + (6 * t + t * t)) + 168
36 + -12t + t2 = (36 + 6t + (6t + t2)) + 168

Combine like terms: 6t + 6t = 12t
36 + -12t + t2 = (36 + 12t + t2) + 168

Reorder the terms:
36 + -12t + t2 = 36 + 168 + 12t + t2

Combine like terms: 36 + 168 = 204
36 + -12t + t2 = 204 + 12t + t2

Add '-1t2' to each side of the equation.
36 + -12t + t2 + -1t2 = 204 + 12t + t2 + -1t2

Combine like terms: t2 + -1t2 = 0
36 + -12t + 0 = 204 + 12t + t2 + -1t2
36 + -12t = 204 + 12t + t2 + -1t2

Combine like terms: t2 + -1t2 = 0
36 + -12t = 204 + 12t + 0
36 + -12t = 204 + 12t

Solving
36 + -12t = 204 + 12t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-12t' to each side of the equation.
36 + -12t + -12t = 204 + 12t + -12t

Combine like terms: -12t + -12t = -24t
36 + -24t = 204 + 12t + -12t

Combine like terms: 12t + -12t = 0
36 + -24t = 204 + 0
36 + -24t = 204

Add '-36' to each side of the equation.
36 + -36 + -24t = 204 + -36

Combine like terms: 36 + -36 = 0
0 + -24t = 204 + -36
-24t = 204 + -36

Combine like terms: 204 + -36 = 168
-24t = 168

Divide each side by '-24'.
t = -7

Simplifying
t = -7

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